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Finding the Fourth Proportional to 39.68, 59.75 and 34.66

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Solution

The fourth proportional to 39.68, 59.75 and 34.66 is: 52.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.68 : 59.75 = 34.66 : x
  2. Step 2: Convert to fraction form
    39.68/59.75 = 34.66/x
  3. Step 3: Cross multiply
    39.68x = 59.75 × 34.66
  4. Step 4: Simplify right side
    39.68x = 2,070.94
  5. Step 5: Solve for x
    x = 2,070.94/39.68
  6. Step 6: Final answer
    x = 52.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.